Minerva-Math

Overview

Minerva-Math is a benchmark designed to evaluate advanced mathematical and quantitative reasoning capabilities of language models. It consists of 272 challenging problems sourced primarily from MIT OpenCourseWare courses, covering university and graduate-level STEM subjects.

Task Description

Task Type: Advanced STEM Problem Solving
Input: University/graduate-level mathematical or scientific problem
Output: Step-by-step solution with final answer
Difficulty: University to graduate level

Key Features

272 challenging problems from MIT OpenCourseWare
Covers advanced subjects: solid-state chemistry, astronomy, differential equations, special relativity
University and graduate-level difficulty
Tests deep mathematical and scientific reasoning
Problems require multi-step quantitative reasoning

Evaluation Notes

Default configuration uses 0-shot evaluation
Answers should be formatted within \boxed{} for proper extraction
Uses LLM-as-judge for complex answer evaluation
Problems may require domain-specific knowledge (physics, chemistry, etc.)
Designed to test the upper limits of model reasoning capabilities

Properties

Property	Value
Benchmark Name	`minerva_math`
Dataset ID	knoveleng/Minerva-Math
Paper	N/A
Tags	`Math`, `Reasoning`
Metrics	`acc`
Default Shots	0-shot
Evaluation Split	`train`

Data Statistics

Metric	Value
Total Samples	272
Prompt Length (Mean)	492.27 chars
Prompt Length (Min/Max)	129 / 1069 chars

Sample Example

Subset: default

{
  "input": [
    {
      "id": "715a0fa1",
      "content": "Each of the two Magellan telescopes has a diameter of $6.5 \\mathrm{~m}$. In one configuration the effective focal length is $72 \\mathrm{~m}$. Find the diameter of the image of a planet (in $\\mathrm{cm}$ ) at this focus if the angular diameter of the planet at the time of the observation is $45^{\\prime \\prime}$.\nPlease reason step by step, and put your final answer within \\boxed{}."
    }
  ],
  "target": "Start with:\n\\[\ns=\\alpha f \\text {, }\n\\]\nwhere $s$ is the diameter of the image, $f$ the focal length, and $\\alpha$ the angular diameter of the planet. For the values given in the problem:\n\\[\ns=\\frac{45}{3600} \\frac{\\pi}{180} 7200=\\boxed{1.6} \\mathrm{~cm}\n\\]",
  "id": 0,
  "group_id": 0,
  "metadata": {
    "type": "Introduction to Astronomy (8.282J Spring 2006)",
    "idx": 0
  }
}

Prompt Template

Prompt Template:

{question}
Please reason step by step, and put your final answer within \boxed{{}}.

Usage

Using CLI

evalscope eval \
    --model YOUR_MODEL \
    --api-url OPENAI_API_COMPAT_URL \
    --api-key EMPTY_TOKEN \
    --datasets minerva_math \
    --limit 10  # Remove this line for formal evaluation

Using Python

from evalscope import run_task
from evalscope.config import TaskConfig

task_cfg = TaskConfig(
    model='YOUR_MODEL',
    api_url='OPENAI_API_COMPAT_URL',
    api_key='EMPTY_TOKEN',
    datasets=['minerva_math'],
    limit=10,  # Remove this line for formal evaluation
)

run_task(task_cfg=task_cfg)

3.3 KiB Raw Blame History